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Finding the Fourth Proportional to 2,220.12, 3,065 and 1,747.08

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Solution

The fourth proportional to 2,220.12, 3,065 and 1,747.08 is: 2,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.12 : 3,065 = 1,747.08 : x
  2. Step 2: Convert to fraction form
    2,220.12/3,065 = 1,747.08/x
  3. Step 3: Cross multiply
    2,220.12x = 3,065 × 1,747.08
  4. Step 4: Simplify right side
    2,220.12x = 5,354,800.20
  5. Step 5: Solve for x
    x = 5,354,800.20/2,220.12
  6. Step 6: Final answer
    x = 2,411.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.